Modern American invention, likely combining Jay and Malaysia.
Jalaysia is a contemporary American name without a single ancient etymological root. It is most likely a rhythmic blend of the popular prefix 'Ja-' with the name of the Southeast Asian country Malaysia, following a trend of using place names as inspiration for unique feminine names.
Less common today
Jalaysia isn't in the latest US Top 1000. It last peaked at #4,826 in 2015.
US births per 5-year period, 1990βpresent (SSA data).